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Microscopic nuclear models for open-shell nuclei
Herko, Jakub ; Knapp, František (advisor)
Title: Microscopic nuclear models for open-shell nuclei Author: Jakub Herko Institute: Institute of Particle and Nuclear Physics Supervisor: Mgr. František Knapp, Ph.D., Institute of Particle and Nuclear Physics Abstract: Since the nucleus is a quantum many-body system consisting of con- stituents whose mutual interaction is not satisfactorily known, it is necessary to use approximate methods when describing the nucleus. Basic approximate approaches in the microscopic theory of the nucleus are the Hartree-Fock the- ory, Tamm-Dancoff approximation and random phase approximation. They are described in the first chapter of this thesis. The main aim was to develop mi- croscopic models for open-shell nuclei with two valence particles or holes. They are described in the second chapter, which contains detailed derivations of the relevant formulae. These methods have been numerically implemented. The re- sults of the calculations of the nuclear spectra and the electromagnetic transition probabilities are presented in the third chapter. Keywords: Tamm-Dancoff approximation, random phase approximation, open- shell nuclei, nuclear spectra, electromagnetic transition probabilities ii
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Microscopic nuclear models for open-shell nuclei
Herko, Jakub ; Knapp, František (advisor)
Title: Microscopic nuclear models for open-shell nuclei Author: Jakub Herko Institute: Institute of Particle and Nuclear Physics Supervisor: Mgr. František Knapp, Ph.D., Institute of Particle and Nuclear Physics Abstract: Since the nucleus is a quantum many-body system consisting of con- stituents whose mutual interaction is not satisfactorily known, it is necessary to use approximate methods when describing the nucleus. Basic approximate approaches in the microscopic theory of the nucleus are the Hartree-Fock the- ory, Tamm-Dancoff approximation and random phase approximation. They are described in the first chapter of this thesis. The main aim was to develop mi- croscopic models for open-shell nuclei with two valence particles or holes. They are described in the second chapter, which contains detailed derivations of the relevant formulae. These methods have been numerically implemented. The re- sults of the calculations of the nuclear spectra and the electromagnetic transition probabilities are presented in the third chapter. Keywords: Tamm-Dancoff approximation, random phase approximation, open- shell nuclei, nuclear spectra, electromagnetic transition probabilities ii
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Microscopic nuclear models for open-shell nuclei
Herko, Jakub ; Knapp, František (advisor) ; Kvasil, Jan (referee)
Title: Microscopic nuclear models for open-shell nuclei Author: Jakub Herko Institute: Institute of Particle and Nuclear Physics Supervisor: Mgr. František Knapp, Ph.D., Institute of Particle and Nuclear Physics Abstract: Since the nucleus is a quantum many-body system consisting of con- stituents whose mutual interaction is not satisfactorily known, it is necessary to use approximate methods when describing the nucleus. Basic approximate approaches in the microscopic theory of the nucleus are the Hartree-Fock the- ory, Tamm-Dancoff approximation and random phase approximation. They are described in the first chapter of this thesis. The main aim was to develop mi- croscopic models for open-shell nuclei with two valence particles or holes. They are described in the second chapter, which contains detailed derivations of the relevant formulae. These methods have been numerically implemented. The re- sults of the calculations of the nuclear spectra and the electromagnetic transition probabilities are presented in the third chapter. Keywords: Tamm-Dancoff approximation, random phase approximation, open- shell nuclei, nuclear spectra, electromagnetic transition probabilities ii
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Microscopic calculations of nuclear properties with realistic nucleon-nucleon interaction
Herko, Jakub ; Knapp, František (advisor) ; Kvasil, Jan (referee)
Title: Microscopic calculations of nuclear properties with realistic nucleon-nucleon interaction Author: Jakub Herko Department: Institute of Particle and Nuclear Physics Supervisor: Mgr. František Knapp, Ph.D., Institute of Particle and Nuclear Phy- sics Abstract: A significant problem of nuclear physics is the fact that the nucleus is quantum many-body system consisting of constituents whose mutual interac- tion is unknown. Therefore, it is necessary to use approximative methods when describing the nucleus. In the microscopic theory of the nucleus we often use the mean-field approximation, in which we consider non-interacting nucleons moving in external field. One approach to obtain an optimal mean-field is the Hartree- Fock method. The first part of this work is theoretical and describes methods of the microscopic theory of the nucleus, especially the Hartree-Fock method, with emphasis on formalism of the second quantization. The second part describes a practical implementation of the Hartree-Fock method in calculations of certain properties of the nuclei and calculations that go beyond this method and include the residual interaction using the perturbation theory. Keywords: Hartree-Fock method, nuclear binding energies, single-particle spectra, many-body perturbation theory
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